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This article is cited in 1 scientific paper (total in 1 paper)
Supplements to Michael's theorem on continuous selections, and their applications
Yu. E. Linke
Abstract:
Michael's well-known theorem on continuous selections is supplemented by ten equivalent conditions. The basic applications of the result obtained relate to the investigation of subdifferentiability of sublinear operators with values in spaces of continuous functions. Also, criteria are found for metrizability of convex dyadic compacta and symmetric convex Eberlein compacta, and for separability for certain classes of Banach spaces.
Received: 19.04.1991
Citation:
Yu. E. Linke, “Supplements to Michael's theorem on continuous selections, and their applications”, Mat. Sb., 183:11 (1992), 19–34; Russian Acad. Sci. Sb. Math., 77:2 (1994), 279–292
Linking options:
https://www.mathnet.ru/eng/sm1086https://doi.org/10.1070/SM1994v077n02ABEH003440 https://www.mathnet.ru/eng/sm/v183/i11/p19
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Abstract page: | 465 | Russian version PDF: | 155 | English version PDF: | 37 | References: | 87 | First page: | 1 |
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